230689568657268 has 144 divisors (see below), whose sum is σ = 666985610753280. Its totient is φ = 65857021056000.

The previous prime is 230689568657267. The next prime is 230689568657279. The reversal of 230689568657268 is 862756865986032.

230689568657268 is a `hidden beast` number, since 2 + 30 + 6 + 8 + 9 + 5 + 6 + 8 + 6 + 572 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230689568657267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1707618268 + ... + 1707753356.

It is an arithmetic number, because the mean of its divisors is an integer number (4631844519120).

Almost surely, 2^{230689568657268} is an apocalyptic number.

230689568657268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

230689568657268 is an abundant number, since it is smaller than the sum of its proper divisors (436296042096012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230689568657268 is a wasteful number, since it uses less digits than its factorization.

230689568657268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140638 (or 140633 counting only the distinct ones).

The product of its (nonzero) digits is 12541132800, while the sum is 81.

The spelling of 230689568657268 in words is "two hundred thirty trillion, six hundred eighty-nine billion, five hundred sixty-eight million, six hundred fifty-seven thousand, two hundred sixty-eight".